Theorems · Theorem · group theory

CoxeterSystem.rightInvSeq_concat

∀ {B : Type u_1} {W : Type u_2} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W) (ω : List B) (i : B),
  cs.rightInvSeq (ω.concat i) = (List.map (⇑(MulAut.conj (cs.simple i))) (cs.rightInvSeq ω)).concat (cs.simple i)

Defined in

Mathlib.GroupTheory.Coxeter.Inversion

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Group